8520 has 32 divisors (see below), whose sum is σ = 25920. Its totient is φ = 2240.
The previous prime is 8513. The next prime is 8521. The reversal of 8520 is 258.
Added to its reverse (258) it gives a triangular number (8778 = T132).
8520 is nontrivially palindromic in base 11.
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a nialpdrome in base 10.
It is a self number, because there is not a number n which added to its sum of digits gives 8520.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (8521) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85 + ... + 155.
It is an arithmetic number, because the mean of its divisors is an integer number (810).
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 8520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12960).
8520 is an abundant number, since it is smaller than the sum of its proper divisors (17400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
8520 is a wasteful number, since it uses less digits than its factorization.
8520 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 85 (or 81 counting only the distinct ones).
The product of its (nonzero) digits is 80, while the sum is 15.
The square root of 8520 is about 92.3038460737. The cubic root of 8520 is about 20.4242694625.
Adding to 8520 its reverse (258), we get a palindrome (8778).
It can be divided in two parts, 85 and 20, that added together give a triangular number (105 = T14).
The spelling of 8520 in words is "eight thousand, five hundred twenty".
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